Overview

This set of 20 verbal reasoning questions focuses on arithmetic sequences, designed for students preparing for the 11+ exam. Arithmetic sequences involve numbers following a specific pattern, usually by adding or subtracting a constant value. These questions challenge students to identify the rule governing the sequence and predict the missing numbers or continue the sequence.

Example Question:

Example 1

Look at the following sequence of numbers:
5, 9, 13, 17, ?

Question: What number should come next in the sequence?

Solution:
The difference between each number in the sequence is +4 (9 – 5 = 4, 13 – 9 = 4, etc.). Therefore, the next number is 17 + 4 = 21.

Questions

Basic Arithmetic Sequence Tasks

Question 1

Look at the following sequence:
3, 6, 9, 12, ?

Question: What is the next number in the sequence?

Question 2

Identify the missing number in the sequence:
8, 11, 14, ?, 20

Question 3

Complete the following sequence:
15, 18, 21, ?, 27

Question 4

Which number should come next in the sequence?
25, 30, 35, ?

Question 5

Find the missing number in the following sequence:
7, 10, 13, ?, 19

Intermediate Arithmetic Sequence Tasks

Question 6

Look at the sequence below and identify the next number:
4, 8, 12, 16, ?

Question 7

Identify the missing number in the sequence:
20, 18, 16, ?, 12

Question 8

Complete the following sequence:
6, 11, 16, ?, 26

Question 9

Find the next number in this sequence:
10, 15, 20, 25, ?

Question 10

Identify the missing number in the sequence below:
2, 5, 8, ?, 14

Advanced Arithmetic Sequence Tasks

Question 11

What number completes this sequence?
30, 27, 24, 21, ?

Question 12

Look at the following arithmetic sequence and find the missing number:
50, 55, 60, ?, 70

Question 13

Identify the next number in the sequence:
100, 90, 80, 70, ?

Question 14

Which number should come next in the sequence?
13, 19, 25, 31, ?

Question 15

Complete the arithmetic sequence:
35, 32, 29, ?, 23

Expert-Level Arithmetic Sequence Tasks

Question 16

Look at the sequence below and find the missing number:
120, 110, 100, 90, ?

Question 17

Identify the next number in the sequence:
45, 50, 55, ?, 65

Question 18

Complete the following sequence:
14, 21, 28, 35, ?

Question 19

Find the missing number in this decreasing sequence:
60, 54, 48, ?, 36

Question 20

What is the next number in the sequence?
200, 180, 160, ?, 120

Answers

Basic Arithmetic Sequence Tasks

  1. The next number is 15.
    Sequence rule: Add 3 to each number.
  2. The missing number is 17.
    Sequence rule: Add 3 to each number.
  3. The missing number is 24.
    Sequence rule: Add 3 to each number.
  4. The next number is 40.
    Sequence rule: Add 5 to each number.
  5. The missing number is 16.
    Sequence rule: Add 3 to each number.

Intermediate Arithmetic Sequence Tasks

  1. The next number is 20.
    Sequence rule: Add 4 to each number.
  2. The missing number is 14.
    Sequence rule: Subtract 2 from each number.
  3. The missing number is 21.
    Sequence rule: Add 5 to each number.
  4. The next number is 30.
    Sequence rule: Add 5 to each number.
  5. The missing number is 11.
    Sequence rule: Add 3 to each number.

Advanced Arithmetic Sequence Tasks

  1. The next number is 18.
    Sequence rule: Subtract 3 from each number.
  2. The missing number is 65.
    Sequence rule: Add 5 to each number.
  3. The next number is 60.
    Sequence rule: Subtract 10 from each number.
  4. The next number is 37.
    Sequence rule: Add 6 to each number.
  5. The missing number is 26.
    Sequence rule: Subtract 3 from each number.

Expert-Level Arithmetic Sequence Tasks

  1. The missing number is 80.
    Sequence rule: Subtract 10 from each number.
  2. The next number is 60.
    Sequence rule: Add 5 to each number.
  3. The next number is 42.
    Sequence rule: Add 7 to each number.
  4. The missing number is 42.
    Sequence rule: Subtract 6 from each number.
  5. The next number is 140.
    Sequence rule: Subtract 20 from each number.

This set of arithmetic sequence questions challenges students to identify and apply patterns, helping them improve their logical reasoning and mathematical thinking skills. These questions are designed to prepare students for the 11+ exam by enhancing their ability to solve number-based puzzles efficiently.